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Finding the Third Proportional to 30,195 and 65,565

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Solution

The third proportional to 30,195 and 65,565 is: 142,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195 : 65,565 = 65,565 : x
  2. Step 2: Convert to fraction form
    30,195/65,565 = 65,565/x
  3. Step 3: Cross multiply
    30,195x = 65,565 × 65,565
  4. Step 4: Simplify right side
    30,195x = 4,298,769,225
  5. Step 5: Solve for x
    x = 4,298,769,225/30,195
  6. Step 6: Final answer
    x = 142,366.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.